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Shape deformation in continuous map generalization

Jeff Danciger, Satyan L. Devadoss, John Mugno, Don Sheehy, Rachel Ward
2008 Geoinformatica  
Given a collection of regions on a map, we seek a method of continuously altering the regions as the scale is varied.  ...  This is formalized and brought to rigor as well-defined problems in homotopic deformation. We ask the regions to preserve topology, area-ratios, and relative position as they change over time.  ...  of shape deformation in continuous scale change using homotopic tools.  ... 
doi:10.1007/s10707-008-0049-0 fatcat:3fzzrxrhgjgedf6pp37ys4r2ky

An evaluation of GIS tools for generating area cartograms

Anna Markowska, Jolanta Korycka-Skorupa
2015 Polish Cartographical Review  
When generating cartograms in the available GIS programs, one should also pay attention to the visual qualities of the generated maps, and in particular, to the resemblance of shapes of spatial units on  ...  the actual shapes of the mapped units but their boundaries have been geometrized to consist of perpendicular sections; continuous irregular cartograms where the shapes of areal units on the map resemble  ...  Piezopleth Maps continuous irregular cartogram No (shape deformation) 1990 Torguson Interactive Molygon Zipping Method continuous irregular cartogram No (shape deformation) 1990 Dorling  ... 
doi:10.1515/pcr-2015-0002 fatcat:pcwjmh7tyna2rcjrgmjur6mzbm

Fractal Deformation Using Displacement Vectors Based on Extended Iterated Shuffle Transformation

Tadahiro Fujimoto, Yoshio Ohno, Kazunobu Muraoka, Norishige Chiba
2002 The Journal of the Society for Art and Science  
By applying the mapping to displacement vectors given on a geometric shape, the shape can be deformed in the fractal-like repeated manner.  ...  In addition, a continuous transition between a continuous deformation and a fractal deformation can be realized.  ...  each subpart of the shape in all scales is deformed recursively, while a continuous deformation technique deforms the whole shape continuously.  ... 
doi:10.3756/artsci.1.134 fatcat:tus333c5hza6plcnsde22x5fha

Real-time surface manipulation with $$C^{1}$$ continuity through simple and efficient physics-based deformations

Shuangbu Wang, Nan Xiang, Yu Xia, Lihua You, Jianjun Zhang
2021 The Visual Computer  
After that, the obtained physics-based deformation is mapped back to the 3D coordinate space, and added to the original surface to create a new surface shape with $$ C^1 $$ C 1 continuity at the boundary  ...  AbstractWe present a novel but simple physics-based method to interactively manipulate surface shapes of 3D models with $$ C^1 $$ C 1 continuity in real time.  ...  Users can select their desired deformation regions on the surface of a 3D model and generate new shapes using the interface in Maya.  ... 
doi:10.1007/s00371-021-02169-4 fatcat:wltvfhofwvf6njiia6vbheuyba

Deformable curve and surface finite-elements for free-form shape design

George Celniker, Dave Gossard
1991 Proceedings of the 18th annual conference on Computer graphics and interactive techniques - SIGGRAPH '91  
The finite element method is applied to generate primitives that build continuous deformable shapes designed to support a new free-form modeling paradigm.  ...  The properties of these geometric primitives have been engineered to support an interactive three phase approach for defining very fair free-form shapes as found in automobiles, ship hulls and car bodies  ...  In these transformations comers in the shape of the parametric region are mapped to comers in the deformed 3-space object.  ... 
doi:10.1145/122718.122746 dblp:conf/siggraph/CelnikerG91 fatcat:xrii6mp5rba23c33kwbwoawuvu

Deformable curve and surface finite-elements for free-form shape design

George Celniker, Dave Gossard
1991 Computer graphics  
The finite element method is applied to generate primitives that build continuous deformable shapes designed to support a new free-form modeling paradigm.  ...  The properties of these geometric primitives have been engineered to support an interactive three phase approach for defining very fair free-form shapes as found in automobiles, ship hulls and car bodies  ...  In these transformations comers in the shape of the parametric region are mapped to comers in the deformed 3-space object.  ... 
doi:10.1145/127719.122746 fatcat:32o73bix2rg6rjh44zmkpzyhhe

Controllable Artistic Text Style Transfer via Shape-Matching GAN [article]

Shuai Yang, Zhangyang Wang, Zhaowen Wang, Ning Xu, Jiaying Liu, Zongming Guo
2019 arXiv   pre-print
However, controlling the stylistic degree in terms of shape deformation remains an important open challenge.  ...  Our key contribution is a novel bidirectional shape matching framework to establish an effective glyph-style mapping at various deformation levels without paired ground truth.  ...  deformation degree needs be adjusted in a quick and continuous way.  ... 
arXiv:1905.01354v2 fatcat:7ne4xt5l4jeppfzcldkpzevcw4

Controllable conformal maps for shape deformation and interpolation

Ofir Weber, Craig Gotsman
2010 ACM Transactions on Graphics  
We describe a novel 2D shape deformation system which generates conformal maps, yet provides the user a large degree of control over the result.  ...  Beyond deforming a given shape into a new one at each key frame, our method also provides the ability to interpolate between shapes in a very natural way, such that also the intermediate deformations are  ...  Realizing that conformal mappings are very desirable in the deformation context, more recent work has restricted the mappings generated to be continuous holomorphic mappings.  ... 
doi:10.1145/1778765.1778815 fatcat:x2wbewqcgjaotbdd5zrjpzq72e

Controllable conformal maps for shape deformation and interpolation

Ofir Weber, Craig Gotsman
2010 ACM SIGGRAPH 2010 papers on - SIGGRAPH '10  
We describe a novel 2D shape deformation system which generates conformal maps, yet provides the user a large degree of control over the result.  ...  Beyond deforming a given shape into a new one at each key frame, our method also provides the ability to interpolate between shapes in a very natural way, such that also the intermediate deformations are  ...  Realizing that conformal mappings are very desirable in the deformation context, more recent work has restricted the mappings generated to be continuous holomorphic mappings.  ... 
doi:10.1145/1833349.1778815 fatcat:poa2czxorbasfkdi6ecktdeu64

Controllable conformal maps for shape deformation and interpolation

Ofir Weber, Craig Gotsman
2010 ACM Transactions on Graphics  
We describe a novel 2D shape deformation system which generates conformal maps, yet provides the user a large degree of control over the result.  ...  Beyond deforming a given shape into a new one at each key frame, our method also provides the ability to interpolate between shapes in a very natural way, such that also the intermediate deformations are  ...  Realizing that conformal mappings are very desirable in the deformation context, more recent work has restricted the mappings generated to be continuous holomorphic mappings.  ... 
doi:10.1145/1833351.1778815 fatcat:w22ga57es5b6fkd26vxqqwixiu

Improving Tensile and Compressive Properties of an Extruded AZ91 Rod by the Combined Use of Torsion Deformation and Aging Treatment

Bo Song, Chunpeng Wang, Ning Guo, Hucheng Pan, Renlong Xin
2017 Materials  
Torsion deformation can generate a gradient microstructure on the cross-section of the rod.  ...  Direct aging usually generates coarse discontinuous precipitates and fine continuous precipitates simultaneously.  ...  High strain can generate a mass of dislocations to promote continuous precipitation in un-twinned regions.  ... 
doi:10.3390/ma10030280 pmid:28772638 pmcid:PMC5503308 fatcat:5iqs63rmofgwzo3u7ousbzmcry

Semantic shape editing using deformation handles

Mehmet Ersin Yumer, Siddhartha Chaudhuri, Jessica K. Hodgins, Levent Burak Kara
2015 ACM Transactions on Graphics  
In contrast to prior work, we focus on continuous deformations instead of discrete part substitutions.  ...  The resulting map enables simple and intuitive shape manipulations based solely on the learned attributes.  ...  We show example shapes generated by the two methods in Section 7.  ... 
doi:10.1145/2766908 fatcat:f6j3dzlxojfp5kkkrj365fvmvq

Matching 3D Shapes Using 2D Conformal Representations [chapter]

Xianfeng Gu, Baba C. Vemuri
2004 Lecture Notes in Computer Science  
Matching 3D shapes is a fundamental problem in Medical Imaging with many applications including, but not limited to, shape deformation analysis, tracking etc.  ...  Specifically, we propose to conformally map each of the two 3D shapes onto the canonical domain and then match these 2D representations over the class of diffeomorphisms.  ...  Acknowledgements This research was in part supported by the NIH grant RO1 NS42075 to BCV. Authors thank Professor C. M. Leonard of the UF-MBI for the hippocampal data.  ... 
doi:10.1007/978-3-540-30135-6_94 fatcat:xdsopodz2fe35dyra7jqmi626y

Complex Barycentric Coordinates with Applications to Planar Shape Deformation

Ofir Weber, Mirela Ben-Chen, Craig Gotsman
2009 Computer graphics forum (Print)  
These mappings are useful in shape and image deformation applications.  ...  Barycentric coordinates are heavily used in computer graphics applications to generalize a set of given data values.  ...  Cauchy-type coordinates and shape deformation In planar shape deformation applications, the user deforms a shape, which is usually a planar mesh or an image.  ... 
doi:10.1111/j.1467-8659.2009.01399.x fatcat:2blju6gxgjenbilzqml5hqir7a

Generalized Metric Energies for Continuous Shape Deformation [chapter]

Janick Martinez Esturo, Christian Rössl, Holger Theisel
2014 Lecture Notes in Computer Science  
In this work we derive a generalized metric energy for deformation vector fields that has close-to-isometric AKVFs as a special case and additionally supports close-to-length-preserving, close-to-conformal  ...  Recent continuous deformation approaches try to find planar first order nearly-isometric deformations by integrating along approximate Killing vector fields (AKVFs).  ...  Conclusions In this paper we introduce a novel generalized metric energy for continuous shape deformation.  ... 
doi:10.1007/978-3-642-54382-1_8 fatcat:eznj2y2hjba3jjov2z7a2hwrza
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