Applications of Projective Geometry to Computer Vision
A detailed guide to applications of projective geometry to computer vision. Covers key methods, mathematical significance, and real-world applications.
Mathematics Category
Projective Geometry
50 articles
≈ 500 min total reading
Brianchon Theorem as Dual of Pascal
A detailed guide to brianchon theorem as dual of pascal. Covers key methods, mathematical significance, and real-world applications.
Cayley Bacharach Theorem for Point Configurations
A detailed guide to cayley bacharach theorem for point configurations. Covers key methods, mathematical significance, and real-world applications.
Ceva Theorem in Projective Geometry Context
A detailed guide to ceva theorem in projective geometry context. Covers key methods, mathematical significance, and real-world applications.
Complete Quadrilateral and Quadrangle Properties
A detailed guide to complete quadrilateral and quadrangle properties. Covers key methods, mathematical significance, and real-world applications.
Conic Sections in Projective Geometry
A detailed guide to conic sections in projective geometry. Covers key methods, mathematical significance, and real-world applications.
Cremona Transformation and Birational Maps
A detailed guide to cremona transformation and birational maps. Covers key methods, mathematical significance, and real-world applications.
Cross Characterization of Conics by Projection
A detailed guide to cross characterization of conics by projection. Covers key methods, mathematical significance, and real-world applications.
Cross Ratio and Its Projective Invariance
A detailed guide to cross ratio and its projective invariance. Covers key methods, mathematical significance, and real-world applications.
Cross Ratio Computations with Complex Numbers
A detailed guide to cross ratio computations with complex numbers. Covers key methods, mathematical significance, and real-world applications.
Desargues Theorem and Its Converse
A detailed guide to desargues theorem and its converse. Covers key methods, mathematical significance, and real-world applications.
Dual Planes and Correlation Transformations
A detailed guide to dual planes and correlation transformations. Covers key methods, mathematical significance, and real-world applications.
Duality Principle in Projective Geometry
A detailed guide to duality principle in projective geometry. Covers key methods, mathematical significance, and real-world applications.
Finite Projective Planes and Combinatorics
A detailed guide to finite projective planes and combinatorics. Covers key methods, mathematical significance, and real-world applications.
Growth of Projective Geometry in the Twentieth Century
A detailed guide to growth of projective geometry in the twentieth century. Covers key methods, mathematical significance, and real-world applications.
Harmonic Conjugate and Four Point Configuration
A detailed guide to harmonic conjugate and four point configuration. Covers key methods, mathematical significance, and real-world applications.
Homogeneous Coordinates for Projective Space
A detailed guide to homogeneous coordinates for projective space. Covers key methods, mathematical significance, and real-world applications.
Hyperovals and Arcs in Finite Projective Planes
A detailed guide to hyperovals and arcs in finite projective planes. Covers key methods, mathematical significance, and real-world applications.
Introduction to Projective Geometry Concepts
A detailed guide to introduction to projective geometry concepts. Covers key methods, mathematical significance, and real-world applications.
Involution on a Projective Line
A detailed guide to involution on a projective line. Covers key methods, mathematical significance, and real-world applications.
Kirkman Schoolgirl Problem and Projective Designs
A detailed guide to kirkman schoolgirl problem and projective designs. Covers key methods, mathematical significance, and real-world applications.
Line at Infinity and Its Geometric Role
A detailed guide to line at infinity and its geometric role. Covers key methods, mathematical significance, and real-world applications.
Menelaus Theorem for Collinear Points
A detailed guide to menelaus theorem for collinear points. Covers key methods, mathematical significance, and real-world applications.
Möbius Transformations and Projective Lines
A detailed guide to möbius transformations and projective lines. Covers key methods, mathematical significance, and real-world applications.
Pappus Theorem in Projective Geometry
A detailed guide to pappus theorem in projective geometry. Covers key methods, mathematical significance, and real-world applications.
Pascal Theorem for Conics and Hexagons
A detailed guide to pascal theorem for conics and hexagons. Covers key methods, mathematical significance, and real-world applications.
Perspective Drawing and Projective Transformations
A detailed guide to perspective drawing and projective transformations. Covers key methods, mathematical significance, and real-world applications.
Plucker Coordinates for Lines in Projective Space
A detailed guide to plucker coordinates for lines in projective space. Covers key methods, mathematical significance, and real-world applications.
Polarity and Conjugate Points in Projective Plane
A detailed guide to polarity and conjugate points in projective plane. Covers key methods, mathematical significance, and real-world applications.
Projective Completion of the Euclidean Plane
A detailed guide to projective completion of the euclidean plane. Covers key methods, mathematical significance, and real-world applications.
Projective Embeddings and Veronese Varieties
A detailed guide to projective embeddings and veronese varieties. Covers key methods, mathematical significance, and real-world applications.
Projective Geometry and Abstract Algebra
A detailed guide to projective geometry and abstract algebra. Covers key methods, mathematical significance, and real-world applications.
Projective Geometry and Linear Algebra Connection
A detailed guide to projective geometry and linear algebra connection. Covers key methods, mathematical significance, and real-world applications.
Projective Geometry Foundations via Incidence Axioms
A detailed guide to projective geometry foundations via incidence axioms. Covers key methods, mathematical significance, and real-world applications.
Projective Geometry in Cartography and Mapping
A detailed guide to projective geometry in cartography and mapping. Covers key methods, mathematical significance, and real-world applications.
Projective Geometry in Graphics and Rendering
A detailed guide to projective geometry in graphics and rendering. Covers key methods, mathematical significance, and real-world applications.
Projective Geometry in Medical Image Reconstruction
A detailed guide to projective geometry in medical image reconstruction. Covers key methods, mathematical significance, and real-world applications.
Projective Geometry in Three Dimensions
A detailed guide to projective geometry in three dimensions. Covers key methods, mathematical significance, and real-world applications.
Projective Invariants Beyond the Cross Ratio
A detailed guide to projective invariants beyond the cross ratio. Covers key methods, mathematical significance, and real-world applications.
Projective Lines Over Different Fields
A detailed guide to projective lines over different fields. Covers key methods, mathematical significance, and real-world applications.
Projective Plane and Added Points at Infinity
A detailed guide to projective plane and added points at infinity. Covers key methods, mathematical significance, and real-world applications.
Projective Transformations and Collineations
A detailed guide to projective transformations and collineations. Covers key methods, mathematical significance, and real-world applications.
Projective Transformations in Art and Architecture
A detailed guide to projective transformations in art and architecture. Covers key methods, mathematical significance, and real-world applications.
Projective Transformations of Conic Sections
A detailed guide to projective transformations of conic sections. Covers key methods, mathematical significance, and real-world applications.
Range and Pencil in Projective Geometry
A detailed guide to range and pencil in projective geometry. Covers key methods, mathematical significance, and real-world applications.
Resolution of Singularities via Projection
A detailed guide to resolution of singularities via projection. Covers key methods, mathematical significance, and real-world applications.
Segre Embedding for Product of Projective Spaces
A detailed guide to segre embedding for product of projective spaces. Covers key methods, mathematical significance, and real-world applications.
Steiner Conic Construction Methods
A detailed guide to steiner conic construction methods. Covers key methods, mathematical significance, and real-world applications.
Steiner Systems and Projective Spaces
A detailed guide to steiner systems and projective spaces. Covers key methods, mathematical significance, and real-world applications.
Topological Projective Geometry and Continuity
A detailed guide to topological projective geometry and continuity. Covers key methods, mathematical significance, and real-world applications.