Abstract
|
|
---|---|
In this paper we review the derivation of implicit equations for non-degenerate quadric patches in rational B ?ezier triangular form. These are the case of Steiner surfaces of degree two. We derive the bilinear forms for such quadrics in a coordinate-free fashion in terms of their control net and their list of weights in a suitable form. Our construction relies on projective geometry and is grounded on the pencil of quadrics circumscribed to a tetrahedron formed by vertices of the control net and an additional point which is required for the Steiner surface to be a non-degenerate quadric. | |
International
|
Si |
JCR
|
Si |
Title
|
Lecture Notes in Computer Science |
ISBN
|
0302-9743 |
Impact factor JCR
|
0,402 |
Impact info
|
|
Volume
|
9213 |
|
10.1007/978-3-319-22804-4_6 |
Journal number
|
9213 |
From page
|
70 |
To page
|
79 |
Month
|
SIN MES |
Ranking
|