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» Computational Topology for Shape Modeling
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CAD
2004
Springer
15 years 5 months ago
A shape design system using volumetric implicit PDEs
Solid modeling based on partial differential equations (PDEs) can potentially unify both geometric constraints and functional requirements within a single design framework to mode...
Haixia Du, Hong Qin
DGCI
2005
Springer
15 years 11 months ago
Shape Preserving Digitization of Binary Images After Blurring
Topology is a fundamental property of shapes in pictures. Since the input for any image analysis algorithm is a digital image, which does not need to have the same topological char...
Peer Stelldinger, Ullrich Köthe
SIAMSC
2008
237views more  SIAMSC 2008»
15 years 5 months ago
A Variational Shape Optimization Approach for Image Segmentation with a Mumford--Shah Functional
We introduce a novel computational method for a Mumford-Shah functional, which decomposes a given image into smooth regions separated by closed curves. Casting this as a shape opti...
Günay Dogan, Pedro Morin, Ricardo H. Nochetto
SIGGRAPH
2010
ACM
15 years 10 months ago
Discrete scale axis representations for 3D geometry
This paper addresses the fundamental problem of computing stable medial representations of 3D shapes. We propose a spatially adaptive classification of geometric features that yi...
Balint Miklos, Joachim Giesen, Mark Pauly
RTCSA
2007
IEEE
16 years 7 days ago
A Dynamic Medial Axis Model for Sensor Networks
An important property in a sensor network is the monitoring of temporal changes of hazardous situations such as forest fires. Rescue groups need to be aware of dynamic changes th...
Lan Lin, Hyunyoung Lee