ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics

In: Advances in Intelligent Systems and Computing Ser. v.1296

Abstract

Intro -- Editor's Preface to the Proceedings of the 19th International Conference on Geometry and Graphics -- Organization -- Program Committee -- Local Organizing Committee -- Organizing Staff -- Sponsor -- Support -- Contents -- Theoretical Graphics and Geometry -- String Constructions of Quadrics Revisited -- 1 Introduction -- 2 Confocal Central Quadrics -- 3 String Constructions of Central Quadrics -- 4 Paraboloids -- References -- Space Kinematics and Projective Differential Geometry over the Ring of Dual Numbers -- 1 Introduction -- 2 Preliminaries -- 2.1 Projective Geometry over Dual Numbers -- 2.2 Space Kinematics -- 2.3 Straight Lines -- 3 Osculating Lines -- 4 Osculating Conics -- 4.1 Bennett Motions -- 4.2 Motions Based on Osculating Circles of Elliptic Geometry -- 5 Conclusion -- References -- Examples of Isoptic Ruled Surfaces -- 1 Introduction -- 2 General Results, Elementary Surfaces -- 3 Helical and Spiral Developables -- 3.1 Helical Developables -- 3.2 Spiral Developables -- 4 Algebraic Isoptic Ruled Surfaces -- 4.1 Some Special Polynomial Curves -- 5 Conclusion, Future Work -- References -- A One-Parameter Family of Triangle Cubics -- 1 Introduction -- 2 Prerequsites -- 3 Some Properties of the Cubics -- 4 Cubics Determined by Triangle Centers -- 5 How to Find Triangle Centers on Such Curves? -- 6 Future Work -- References -- Vermeer's Specific Ratio -- Abstract -- 1 Introduction -- 2 Analysis of "Milk Maid" -- 2.1 "Milk Maid" Plan View and Projection Drawing -- 2.2 "Milk Maid" Scene and View Angle -- 2.3 "Milk Maid" Canvas Angles and Depicted Models -- 3 Camera Obscura and Frame Composition -- 3.1 Light Form and Floor Depiction -- 3.2 Appearance of the Floor -- 3.3 Definition of Euclid -- 4 Considerations -- 5 Conclusions -- References.