Computational Imaging and Vision
DOI: 10.1007/1-4020-4179-9_97
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Automatic Tessellation of Quadric Surfaces Using Grassmann-Cayley Algebra

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Cited by 2 publications
(4 citation statements)
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“…Zaharia and Dorst [24] emphasize the elegance of the geometric algebra approach applied on modeling and visualization of 3-D polygonal mesh surfaces; Bayro-Corrochano and Sommer [25] discussed the use of geometric approach in object modeling and collision avoidance. Jourdan et al [26] performed automatic tessellation of quadric surfaces using Grassmann-Cayley algebra. Finally, Lasenby et al [27] used geometric algebra for modeling higher dimensional fractals.…”
Section: Discussionmentioning
confidence: 99%
“…Zaharia and Dorst [24] emphasize the elegance of the geometric algebra approach applied on modeling and visualization of 3-D polygonal mesh surfaces; Bayro-Corrochano and Sommer [25] discussed the use of geometric approach in object modeling and collision avoidance. Jourdan et al [26] performed automatic tessellation of quadric surfaces using Grassmann-Cayley algebra. Finally, Lasenby et al [27] used geometric algebra for modeling higher dimensional fractals.…”
Section: Discussionmentioning
confidence: 99%
“…This new reference tetrahedron makes it easy to adapt the quadric parameterization and tessellation method used by Jourdan et al [6] to the case of portions of quadric suface belonging to one half-space limited by Π. Figure 7 shows an example of what we wean.…”
Section: Parameterizing Portions Of Quadricsmentioning
confidence: 97%
“…Such a parameterization is already known [6]. It is obtained from the classical ruler-only construction of a point M on C…”
Section: Intersection With a Linementioning
confidence: 99%
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