TY  - JOUR
AU  - Čučaković, Aleksandar
AU  - Jović, Biljana
AU  - Tripković, Miloš
PY  - 2017
UR  - https://omorika.sfb.bg.ac.rs/handle/123456789/804
AB  - Ovaj rad se bavi mogućnošću prevazilaženja problema razvijanja u ravan dvostruko zakrivljenih površi u procesu dizajniranja proizvoda. U procesu dizajniranja proizvoda koriste se dve vrste površi, razvojne površi i nerazvojne površi, koje se, takođe, nazivaju jednostruko i dvostruko zakrivljenim površima. Gausova krivina razvojnih površi u svakoj tački jednaka je nuli, dok je kod nerazvojnih površi Gausova krivina ratzličita od nule pa u nekim delovima površi Gausova krivina može da bude pozitivna ili negativna. Površine mnogih dizajn-proizvoda su često osmišljene kao dvostruko zakrivljene površi kako bi zadovoljile strukturne i estetske zahteve. Problem razvijanja u ravan dvostruko zakrivljene trodimenzionalne površi u dizajnu proizvoda zavisi od oblika površine i materijala proizvoda. Stoga, metod pronalaženja načina za razvijanje dvostruko zakrivljene površi u ravan se razlikuje, kada se spoljašnja sila koristi u stvaranju površinskog obrasca kao što je prisutno kod površi (materijala) koje je moguće deformisati, od slučaja razvijanja površi kreiranih od papirnih traka. Posmatrajući površinu trodimenzionalnog objekta, prvi korak u procesu proizvodnje je razvijanje dizajniranog proizvoda u ravan kako bi proizvođač mogao da odredi ne samo inicijalni oblik objekta, već i da raspodeli naprezanje potrebno za formiranje oblika zavisno od materijala. U radu se analizira i racionalizuje dvostruko zakrivljena površ datog oblika korišćenjem papirnih traka zalepljenih na površinu dizajn-proizvoda. Rezultati istražuju mogućnosti postizanja približno glatke površine i razvoja modela za generisanje neprekidne krive površi sastavljene od papirnih traka, kao i kreiranja alternativnih rešenja upotrebljivih u domenu savremenog dizajna proizvoda. Rad ilustruje mogućnost korišćenja različitih varijacija predloženog dizajna.
AB  - In this paper, we address the challenge of overcoming the problem of developing doubly curved surfaces in product design. Product design uses two kinds of surfaces, developable surfaces and non-developable surfaces, which are also called singly and doubly curved surfaces, respectively. A developable surface has zero Gaussian curvature at all points, while a non-developable surface has non-zero Gaussian curvature at least in some region. Surfaces of many product design object are commonly created as doubly curved shapes to meet requirements of structure and aesthetic. The problem of creating the planar development of 3D surfaces with double curvature in the product design depends on the shape of the surface and the material of the surface cover. Therefore, the method of deriving a pattern is different when external forces are used in order to generate the plane patterns such as paper strips from the case when the plane shape can stretch or deform to fit on the 3D surface. Given a three-dimensional object surface, the first step of the fabrication process is flattening or planar development of this surface into a planar shape so that the manufacturer can not only determine the initial shape of the object but also estimate the strain distribution required to form the shape depending on a material. The paper is analysing and rationalizing doubly curved surface of a given shape by multiple strips of paper glued onto a surface. Results are addressing possibilities of achieving an overall smooth surface and developing a model for the generation of curvature continuous surfaces composed of paper strip surfaces, as well as generating alternative solutions that are in the domain of contemporary product design. The paper illustrates usability and different variations of the proposed design.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Dizajniranje papirnim trakama - primena na dvostruko zakrivljenim površima
T1  - Paper strips driven design: Application on doubly curved surfaces
EP  - 255
IS  - 2
SP  - 251
VL  - 45
DO  - 10.5937/fmet1702251C
UR  - conv_722
ER  - 

@article{
author = "Čučaković, Aleksandar and Jović, Biljana and Tripković, Miloš",
year = "2017",
abstract = "Ovaj rad se bavi mogućnošću prevazilaženja problema razvijanja u ravan dvostruko zakrivljenih površi u procesu dizajniranja proizvoda. U procesu dizajniranja proizvoda koriste se dve vrste površi, razvojne površi i nerazvojne površi, koje se, takođe, nazivaju jednostruko i dvostruko zakrivljenim površima. Gausova krivina razvojnih površi u svakoj tački jednaka je nuli, dok je kod nerazvojnih površi Gausova krivina ratzličita od nule pa u nekim delovima površi Gausova krivina može da bude pozitivna ili negativna. Površine mnogih dizajn-proizvoda su često osmišljene kao dvostruko zakrivljene površi kako bi zadovoljile strukturne i estetske zahteve. Problem razvijanja u ravan dvostruko zakrivljene trodimenzionalne površi u dizajnu proizvoda zavisi od oblika površine i materijala proizvoda. Stoga, metod pronalaženja načina za razvijanje dvostruko zakrivljene površi u ravan se razlikuje, kada se spoljašnja sila koristi u stvaranju površinskog obrasca kao što je prisutno kod površi (materijala) koje je moguće deformisati, od slučaja razvijanja površi kreiranih od papirnih traka. Posmatrajući površinu trodimenzionalnog objekta, prvi korak u procesu proizvodnje je razvijanje dizajniranog proizvoda u ravan kako bi proizvođač mogao da odredi ne samo inicijalni oblik objekta, već i da raspodeli naprezanje potrebno za formiranje oblika zavisno od materijala. U radu se analizira i racionalizuje dvostruko zakrivljena površ datog oblika korišćenjem papirnih traka zalepljenih na površinu dizajn-proizvoda. Rezultati istražuju mogućnosti postizanja približno glatke površine i razvoja modela za generisanje neprekidne krive površi sastavljene od papirnih traka, kao i kreiranja alternativnih rešenja upotrebljivih u domenu savremenog dizajna proizvoda. Rad ilustruje mogućnost korišćenja različitih varijacija predloženog dizajna., In this paper, we address the challenge of overcoming the problem of developing doubly curved surfaces in product design. Product design uses two kinds of surfaces, developable surfaces and non-developable surfaces, which are also called singly and doubly curved surfaces, respectively. A developable surface has zero Gaussian curvature at all points, while a non-developable surface has non-zero Gaussian curvature at least in some region. Surfaces of many product design object are commonly created as doubly curved shapes to meet requirements of structure and aesthetic. The problem of creating the planar development of 3D surfaces with double curvature in the product design depends on the shape of the surface and the material of the surface cover. Therefore, the method of deriving a pattern is different when external forces are used in order to generate the plane patterns such as paper strips from the case when the plane shape can stretch or deform to fit on the 3D surface. Given a three-dimensional object surface, the first step of the fabrication process is flattening or planar development of this surface into a planar shape so that the manufacturer can not only determine the initial shape of the object but also estimate the strain distribution required to form the shape depending on a material. The paper is analysing and rationalizing doubly curved surface of a given shape by multiple strips of paper glued onto a surface. Results are addressing possibilities of achieving an overall smooth surface and developing a model for the generation of curvature continuous surfaces composed of paper strip surfaces, as well as generating alternative solutions that are in the domain of contemporary product design. The paper illustrates usability and different variations of the proposed design.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Dizajniranje papirnim trakama - primena na dvostruko zakrivljenim površima, Paper strips driven design: Application on doubly curved surfaces",
pages = "255-251",
number = "2",
volume = "45",
doi = "10.5937/fmet1702251C",
url = "conv_722"
}

Čučaković, A., Jović, B.,& Tripković, M.. (2017). Dizajniranje papirnim trakama - primena na dvostruko zakrivljenim površima. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 45(2), 251-255.
https://doi.org/10.5937/fmet1702251C
conv_722

Čučaković A, Jović B, Tripković M. Dizajniranje papirnim trakama - primena na dvostruko zakrivljenim površima. in FME Transactions. 2017;45(2):251-255.
doi:10.5937/fmet1702251C
conv_722 .

Čučaković, Aleksandar, Jović, Biljana, Tripković, Miloš, "Dizajniranje papirnim trakama - primena na dvostruko zakrivljenim površima" in FME Transactions, 45, no. 2 (2017):251-255,
https://doi.org/10.5937/fmet1702251C .,
conv_722 .

TY  - JOUR
AU  - Grbić, Mihailo
AU  - Čučaković, Aleksandar
AU  - Jović, Biljana
AU  - Tripković, Miloš
PY  - 2016
UR  - https://omorika.sfb.bg.ac.rs/handle/123456789/737
AB  - This paper analyzes the phenomenon of spatial functionalities for garden cultural heritage design and the relationships between the sizes of the sections and elements of the baroque garden of Vaux-leVicomte and the specific visual phenomenon, anamorphosis abscondita, that was used in the design of this garden. The interpretation of the optical illusions in the garden of Vaux-le-Vicomte was achieved by using geometrical analysis of the rules of linear perspective. The anamorphosis abscondita was examined through the viewpoints of the garden using the ground plan and longitudinal section of the garden, photographs and a virtual 3D model. The visual impression of the phenomenon anamorphosis abscondita formed in the eye of the observer, in relation to the reality of the garden, is confirmed through the geometrical analysis. Anamorphosis abscondita introduces a compulsory perceptual path to the observer of the garden. This pattern of deformation in certain parts of the garden creates in the viewer's eye a sense of infinity in space. The 3D scene of the garden is characterised by a large amount of spatial and visual information, which is located at different distances from the observer. The quality of visual information in such a space leads to a change of the object of interest. Perspectives and optical illusions influence the design of the garden at Vaux-le-Vicomte, and the terraces and axes of symmetry are important tools in its spatial organization. The axis of symmetry contributes to the clarity, depth and order of composition. The parameters that influence the phenomenon of anamorphosis (distortion): the height of the eye point and the distance both affect the visual illusion of the change in size (depth of scene).
T2  - Journal of Cultural Heritage
T1  - Garden cultural heritage spatial functionalities: The case of anamorphosis abscondita at Vaux-le-Vicomte
EP  - 369
SP  - 366
VL  - 18
DO  - 10.1016/j.culher.2015.08.007
UR  - conv_1204
ER  - 

@article{
author = "Grbić, Mihailo and Čučaković, Aleksandar and Jović, Biljana and Tripković, Miloš",
year = "2016",
abstract = "This paper analyzes the phenomenon of spatial functionalities for garden cultural heritage design and the relationships between the sizes of the sections and elements of the baroque garden of Vaux-leVicomte and the specific visual phenomenon, anamorphosis abscondita, that was used in the design of this garden. The interpretation of the optical illusions in the garden of Vaux-le-Vicomte was achieved by using geometrical analysis of the rules of linear perspective. The anamorphosis abscondita was examined through the viewpoints of the garden using the ground plan and longitudinal section of the garden, photographs and a virtual 3D model. The visual impression of the phenomenon anamorphosis abscondita formed in the eye of the observer, in relation to the reality of the garden, is confirmed through the geometrical analysis. Anamorphosis abscondita introduces a compulsory perceptual path to the observer of the garden. This pattern of deformation in certain parts of the garden creates in the viewer's eye a sense of infinity in space. The 3D scene of the garden is characterised by a large amount of spatial and visual information, which is located at different distances from the observer. The quality of visual information in such a space leads to a change of the object of interest. Perspectives and optical illusions influence the design of the garden at Vaux-le-Vicomte, and the terraces and axes of symmetry are important tools in its spatial organization. The axis of symmetry contributes to the clarity, depth and order of composition. The parameters that influence the phenomenon of anamorphosis (distortion): the height of the eye point and the distance both affect the visual illusion of the change in size (depth of scene).",
journal = "Journal of Cultural Heritage",
title = "Garden cultural heritage spatial functionalities: The case of anamorphosis abscondita at Vaux-le-Vicomte",
pages = "369-366",
volume = "18",
doi = "10.1016/j.culher.2015.08.007",
url = "conv_1204"
}

Grbić, M., Čučaković, A., Jović, B.,& Tripković, M.. (2016). Garden cultural heritage spatial functionalities: The case of anamorphosis abscondita at Vaux-le-Vicomte. in Journal of Cultural Heritage, 18, 366-369.
https://doi.org/10.1016/j.culher.2015.08.007
conv_1204

Grbić M, Čučaković A, Jović B, Tripković M. Garden cultural heritage spatial functionalities: The case of anamorphosis abscondita at Vaux-le-Vicomte. in Journal of Cultural Heritage. 2016;18:366-369.
doi:10.1016/j.culher.2015.08.007
conv_1204 .

Grbić, Mihailo, Čučaković, Aleksandar, Jović, Biljana, Tripković, Miloš, "Garden cultural heritage spatial functionalities: The case of anamorphosis abscondita at Vaux-le-Vicomte" in Journal of Cultural Heritage, 18 (2016):366-369,
https://doi.org/10.1016/j.culher.2015.08.007 .,
conv_1204 .

TY  - JOUR
AU  - Jović, Biljana
AU  - Tripković, Miloš
AU  - Čučaković, Aleksandar
PY  - 2011
UR  - https://omorika.sfb.bg.ac.rs/handle/123456789/394
AB  - Ovaj rad daje polazne osnove za detaljnija istraživanja u oblasti geometrijskih struktura bioničkih formi različitih biljnih vrsta i njihovu primenu u domenu planiranja predela. Cilj ove vrste istraživanja je da proširi znanja koja povezuju oblast planiranja predela sa dubljim razumevanjem različitih geometrijskih odnosa prisutnih u postojećim prirodnim oblicima. Preslikavanjem geometrijskih odnosa sa modela iz prirode uspostavlja se korelacija između struktura u prirodi i struktura koje su prisutne u predelu. Fokus ovog rada je isključivo na geometriji prirodnih oblika. U cilju sagledavanja sličnosti i vršenja komparativne analize geometrije lista Prunus domestica L. i geometrije kulturnog predela centralne Srbije korišćen je Voronoi dijagram. Dobijeni Voronoi dijagram pokazuje sličnost na osnovu zatvorenih polja, Voronoi ćelija, koje po formi odgovaraju nervaturi lista Prunus domestica L. Geometrijska interpretacija postojećih obrazaca kulturnog predela može se komparativnom analizom dovesti u vezu sa geometrijskom strukturom najčešće gajene voćarsko-drvenaste vrste.
AB  - This paper provides the basics for more detailed research on the structures of bionic forms of different plant species and their application in the domain of landscape planning. The aim of this type of research is to expand knowledge of landscape planning with a deeper understanding of different geometric relations present in the existing natural forms. The correlation between structures in nature and structures that are present in contemporary landscape architecture could be established by the congruence with the geometric models from landscape. This paper is focused solely on the geometry of natural forms. The Voronoi diagram was used in order to examine the similarities and to perform a comparative analysis of the Prunus domestica L. leaf geometry and the geometry of cultural landscapes of Central Serbia. The resulting Voronoi diagram shows the similarity based on closed fields, Voronoi cells, which correspond to the nervation of Prunus domestica L. leaf by form. Using the comparative analysis, the geometric interpretation of cultural landscape examples could be linked to the geometric structure of the most frequent fruit tree species.
PB  - Univerzitet u Beogradu - Šumarski fakultet, Beograd
T2  - Glasnik Šumarskog fakulteta
T1  - Geometrijska korelacija obrazaca kulturnog predela i lista vrste Prunus domestica L.
T1  - Geometric correlation of cultural landscape patterns and Prunus domestica L. species leaf
EP  - 40
IS  - 104
SP  - 29
DO  - 10.2298/GSF1104029J
UR  - conv_344
ER  - 

@article{
author = "Jović, Biljana and Tripković, Miloš and Čučaković, Aleksandar",
year = "2011",
abstract = "Ovaj rad daje polazne osnove za detaljnija istraživanja u oblasti geometrijskih struktura bioničkih formi različitih biljnih vrsta i njihovu primenu u domenu planiranja predela. Cilj ove vrste istraživanja je da proširi znanja koja povezuju oblast planiranja predela sa dubljim razumevanjem različitih geometrijskih odnosa prisutnih u postojećim prirodnim oblicima. Preslikavanjem geometrijskih odnosa sa modela iz prirode uspostavlja se korelacija između struktura u prirodi i struktura koje su prisutne u predelu. Fokus ovog rada je isključivo na geometriji prirodnih oblika. U cilju sagledavanja sličnosti i vršenja komparativne analize geometrije lista Prunus domestica L. i geometrije kulturnog predela centralne Srbije korišćen je Voronoi dijagram. Dobijeni Voronoi dijagram pokazuje sličnost na osnovu zatvorenih polja, Voronoi ćelija, koje po formi odgovaraju nervaturi lista Prunus domestica L. Geometrijska interpretacija postojećih obrazaca kulturnog predela može se komparativnom analizom dovesti u vezu sa geometrijskom strukturom najčešće gajene voćarsko-drvenaste vrste., This paper provides the basics for more detailed research on the structures of bionic forms of different plant species and their application in the domain of landscape planning. The aim of this type of research is to expand knowledge of landscape planning with a deeper understanding of different geometric relations present in the existing natural forms. The correlation between structures in nature and structures that are present in contemporary landscape architecture could be established by the congruence with the geometric models from landscape. This paper is focused solely on the geometry of natural forms. The Voronoi diagram was used in order to examine the similarities and to perform a comparative analysis of the Prunus domestica L. leaf geometry and the geometry of cultural landscapes of Central Serbia. The resulting Voronoi diagram shows the similarity based on closed fields, Voronoi cells, which correspond to the nervation of Prunus domestica L. leaf by form. Using the comparative analysis, the geometric interpretation of cultural landscape examples could be linked to the geometric structure of the most frequent fruit tree species.",
publisher = "Univerzitet u Beogradu - Šumarski fakultet, Beograd",
journal = "Glasnik Šumarskog fakulteta",
title = "Geometrijska korelacija obrazaca kulturnog predela i lista vrste Prunus domestica L., Geometric correlation of cultural landscape patterns and Prunus domestica L. species leaf",
pages = "40-29",
number = "104",
doi = "10.2298/GSF1104029J",
url = "conv_344"
}

Jović, B., Tripković, M.,& Čučaković, A.. (2011). Geometrijska korelacija obrazaca kulturnog predela i lista vrste Prunus domestica L.. in Glasnik Šumarskog fakulteta
Univerzitet u Beogradu - Šumarski fakultet, Beograd.(104), 29-40.
https://doi.org/10.2298/GSF1104029J
conv_344

Jović B, Tripković M, Čučaković A. Geometrijska korelacija obrazaca kulturnog predela i lista vrste Prunus domestica L.. in Glasnik Šumarskog fakulteta. 2011;(104):29-40.
doi:10.2298/GSF1104029J
conv_344 .

Jović, Biljana, Tripković, Miloš, Čučaković, Aleksandar, "Geometrijska korelacija obrazaca kulturnog predela i lista vrste Prunus domestica L." in Glasnik Šumarskog fakulteta, no. 104 (2011):29-40,
https://doi.org/10.2298/GSF1104029J .,
conv_344 .