ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics

1. Front Matter

   Pages i-xlvi

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2. Introduction to ISGG Community and the 2018 Conference

   1. Front Matter

      Pages 1-1

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   2. Giving Birth to the International Society for Geometry and Graphics—A Documentation of the Years 1988–1994

      • Hellmuth Stachel

      Pages 3-6

   3. Geometry and Graphics for the Graphic Identity of a Conference on Geometry and Graphics: About the ICGG2018 Conference Logo

      • Luigi Cocchiarella

      Pages 7-16

3. Invited Lectures

   1. Front Matter

      Pages 17-17

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   2. Rational Estimates for Irrational Problems: Proportional Geometry in the Work of Leonardo da Vinci

      • Matthew Landrus

      Pages 19-54

   3. Molecular Geometry and Molecular Graphics: Natta’s Polypropylene and Beyond

      • Guido Raos

      Pages 55-62

   4. Geometric Thinking and the Geometry of Conics and Quadrics

      • Paul Zsombor-Murray

      Pages 63-77

   5. Designing with Shadow/in Architectural Lighting Design

      • Kaoru Mende

      Pages 78-93

   6. Higher Dimensional Geometries. What Are They Good For?

      • Boris Odehnal

      Pages 94-105

   7. Computational Visual Illusion and Its Application

      • Peeraya Sripian

      Pages 106-113

   8. Blindness of Seeing. On the Origin of the Images

      • Agostino De Rosa

      Pages 114-125

4. Theoretical Graphics and Geometry

   1. Front Matter

      Pages 127-127

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5. Theoretical Graphics and Geometry

   1. Composition and Deconstruction of Spaces Depicted in Shinji Somai’s Films

      • Naomi Ando, Motoharu Taneda, Shota Ishii, Nobuhiro Yamahata

      Pages 129-146

   2. Graphical Model of the Biquadratic Transformation

      • Auyez Baidabekov, Seriktay Baymukhanov, Elmira Kemelbekova

      Pages 147-160

   3. Graphics and Quantum Mechanics—The Necker Cube as a Quantum-like Two-Level System

      • Giorgio Benedek, Giuseppe Caglioti

      Pages 161-172

   4. Surface and Curves: A Dialogue Between Nature and Structural Analysis

      • Otello Bergamo

      Pages 173-183

   5. On One Locus in the Plane

      • Jiří Blažek, Pavel Pech

      Pages 184-196

   6. Integration Between Perspective Images and BIM Models: Projective Geometry Is Still Alive

      • Paolo Borin, Andrea Giordano, Federico Panarotto

      Pages 197-207

   7. Geometric Constructive Traces in Drawings by Francesco Borromini

      • Marco Canciani, Giovanna Spadafora, María del Pilar Pastor Altaba, Giovanni Formica, Marco D’Angelico, Camilla Lebboroni

      Pages 208-218

This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018. The spectrum of papers ranges from theoretical research to applications, including education, in several fields of science, technology and the arts. The ICGG 2018 mainly focused on the following topics and subtopics: Theoretical Graphics and Geometry (Geometry of Curves and Surfaces, Kinematic and Descriptive Geometry, Computer Aided Geometric Design), Applied Geometry and Graphics (Modeling of Objects, Phenomena and Processes, Applications of Geometry in Engineering, Art and Architecture, Computer Animation and Games, Graphic Simulation in Urban and Territorial Studies), Engineering Computer Graphics (Computer Aided Design and Drafting, Computational Geometry, Geometric and Solid Modeling, Image Synthesis, Pattern Recognition, Digital Image Processing) and Graphics Education (Education Technology Research, Multimedia Educational Software Development, E-learning, Virtual Reality, Educational Systems, Educational Software Development Tools, MOOCs). Given its breadth of coverage, the book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.

• Computer Graphics
• Digital Image Processing
• ICGG 2018
• Pattern Recognition
• Graphics Education
• Computer Aided Geometric Design
• Computer Games
• Kinematic Geometry
• Computational Geometry
• Urban Graphic Simulation

• Department of Architecture and Urban Studies—DASTU, School of Architecture Urban Planning and Construction Engineering—AUIC, Politecnico di Milano, Milan, Italy

  Luigi Cocchiarella

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