scholarly journals An Algebraic Surface with K Ample, (K2) = 9, pg = q = 0

2004 ◽  
pp. 784-795
Author(s):  
D. Mumford
Keyword(s):  
Algebraic Surface

scholarly journals Isotopic triangulation of a real algebraic surface

2009 ◽  
Vol 44 (9) ◽  
pp. 1291-1310 ◽  
Author(s):  
Lionel Alberti ◽  
Bernard Mourrain ◽  
Jean-Pierre Técourt
Keyword(s):  
Algebraic Surface ◽  
Real Algebraic Surface

scholarly journals On the Reconstruction of the Center of a Projection by Distances and Incidence Relations

2020 ◽  
Author(s):  
András Pongrácz ◽  
Csaba Vincze
Keyword(s):  
Algebraic Surface ◽  
Basic Problem ◽  
Rotational Symmetry ◽  
Image Plane ◽  
Equivalent Condition ◽  
Central Projection ◽  
Profile Curve ◽  
Reconstruction Process ◽  
Restricted Area ◽  
Photographic Images

AbstractUp to an orientation-preserving symmetry, photographic images are produced by a central projection of a restricted area in the space into the image plane. To obtain reliable information about physical objects and the environment through the process of recording is the basic problem of photogrammetry. We present a reconstruction process based on distances from the center of projection and incidence relations among the points to be projected. For any triplet of collinear points in the space, we construct a surface of revolution containing the center of the projection. It is a generalized conic that can be represented as an algebraic surface. The rotational symmetry allows us to restrict the investigations to the defining polynomial of the profile curve in the image plane. An equivalent condition for the boundedness is given in terms of the input parameters, and it is shown that the defining polynomial of the profile curve is irreducible.

Algebraic Surface

2014 ◽  
pp. 29-31
Author(s):  
Bo Zheng
Keyword(s):  
Algebraic Surface

scholarly journals Vector Bundles of Grassmann Type and Configuration Type of Rank 2 on an Algebraic Surface

1990 ◽  
Vol 13 (1) ◽  
pp. 1-16
Author(s):  
Yosuke HINO ◽  
Masataka KAGESAWA
Keyword(s):  
Algebraic Surface ◽  
Vector Bundles ◽  
Rank 2

A ROBUST AFFINE INVARIANT METRIC ON BOUNDARY PATTERNS

1999 ◽  
Vol 13 (08) ◽  
pp. 1151-1163 ◽  
Author(s):  
MICHIEL HAGEDOORN ◽  
REMCO C. VELTKAMP
Keyword(s):  
Algebraic Surface ◽  
Shape Recognition ◽  
Large Family ◽  
Finite Union ◽  
Connected Components ◽  
Affine Invariant ◽  
Invariant Metric ◽  
Pattern Metrics ◽  
Surface Patches

Affine invariant pattern metrics are useful for shape recognition. It is important that such a metric is robust for various defects. We formalize these types of robustness using four axioms. Then, we present the reflection metric. This is an affine invariant metric defined for the large family of "boundary patterns". A boundary pattern is a finite union of n-1 dimensional algebraic surface patches in ℝn. Such a pattern may have multiple connected components. We prove that the reflection metric satisfies the four robustness axioms.

Algebraic Surface

2021 ◽  
pp. 49-52
Author(s):  
Bo Zheng
Keyword(s):  
Algebraic Surface
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