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SIGGRAPH
2000
ACM
15 years 2 months ago
Illuminating micro geometry based on precomputed visibility
Many researchers have been arguing that geometry, bump maps, and BRDFs present a hierarchy of detail that should be exploited for efficient rendering purposes. In practice howeve...
Wolfgang Heidrich, Katja Daubert, Jan Kautz, Hans-...
ICCV
2007
IEEE
15 years 11 months ago
On the Differential Geometry of 3D Flow Patterns: Generalized Helicoids and Diffusion MRI Analysis
Configurations of dense locally parallel 3D curves occur in medical imaging, computer vision and graphics. Examples include white matter fibre tracts, textures, fur and hair. We d...
Peter Savadjiev, Steven W. Zucker, Kaleem Siddiqi
CGF
2005
186views more  CGF 2005»
14 years 9 months ago
Interpolatory Refinement for Real-Time Processing of Point-Based Geometry
The point set is a flexible surface representation suitable for both geometry processing and real-time rendering. In most applications, the control of the point cloud density is c...
Gaël Guennebaud, Loïc Barthe, Mathias Pa...
SAC
2010
ACM
14 years 4 months ago
Similar triangles and orientation in plane elementary geometry for Coq-based proofs
In plane elementary geometry, the concept of similar triangles not only forms an important foundation for trigonometry, but it also can be used to solve many geometric problems. T...
Tuan Minh Pham
AFPAC
2000
Springer
267views Mathematics» more  AFPAC 2000»
15 years 2 months ago
The Lie Model for Euclidean Geometry
Abstract. In this paper we investigate the Lie model of Lie sphere geometry using Clifford algebra. We employ it to Euclidean geometric problems involving oriented contact to simpl...
Hongbo Li