Geometric Modeling Research Group

The objective of the research

We aim to understand the real-world phenomena using geometrical tools, emphasizing tools in discrete and computational geometry. In the group, we formulate the real-world problem into geometry problems and solve those problems using geometrical tools. We also solve discrete geometry problems and construct geometric tools to solve real-world problems.

News

The 23rd Thailand-Japan Conference on Discrete and Computational Geometry, Graphs, and Games (TJCDCGGG2020+1) will be held at Chiang Mai University on 3 – 5 September 2021.
การประชุมวิชาการไทย-ญี่ปุ่น ด้านเรขาคณิตวิยุต เรขาคณิตเชิงคำนวณ ทฤษฎีกราฟ และเกม ครั้งที่ 23 จะจัดขึ้น ณ ภาควิชาคณิตศาสตร์ คณะวิทยาศาสตร์ มหาวิทยาลัยเชียงใหม่
วันที่ 3 – 5 กันยายน 2564
The 1st Geometry Research Boot Camp, 17 – 21 June 2019
ค่ายสัมมนาหัวข้อวิจัยทางเรขาคณิต เรขาคณิตวิยุต และเรขาคณิตเชิงคำนวณ
วันที่ 17 – 21 มิถุนายน 2562 ณ ศูนย์การศึกษามหาวิทยาลัยเชียงใหม่ “หริภุญชัย”

Current research projects

Centroidal spherical Laguerre Voronoi diagram for understanding and modeling spherical tessellation patterns
Geometrical analysis of the crane game in two dimensions
Volume of a solid from the sequences figures taken by CT scan

Research Achievements Research

Projects and seminars for students Projects and Seminars

Current Students (U – undergraduate student, M – master’s degree student)

M-ID62 (Teaching Math) – Wuttichai Chaipanya : Development of the Mastery Learning Self-study Package on Geometry for Upper Secondary Students by Comparing Classical and Analytical Geometry Concepts
M-ID63 (Applied Math) – Chanikan Sawatdithep : Recognition of spiral patterns from Voronoi diagrams
U-ID62 – Phapaengmueng Sukkasem (390: Silos, Snow Cones, Railroad Spikes, and Spherical Coordinates)
U-ID62 – Pattaradanai Jaima (390: A General Method for Establishing Geometric Inequalities in a Triangle)
U-ID63 – Ponpailin Homsombut (Summer Project: Polyhedra from Regular Polygons)
U-ID63 – Peerawit Suriya (Summer Project: Analysis of Chiang Mai’s Spatial Data)

Alumni

AY2021

U-ID57 – (Joint) Wattanachai Kaewsom (499: The Determination of Lissajous Node Points Using Geometric and Algebraic Method)
U-ID61 – Kanokwan Kanta (499: Investigation on the Characteristics of Durian Leaves for Robust Approximation of Area)

AY2020

U-ID60 – Netipong Saensri (499: Intersection problem of spherical figures)
U-ID60 – Anawut Suriyamanee (499: Computational geometry model for visualizing and predicting climate data)

AY2019

U-ID59 – Nattapon Rintaew (390: Rectangles in Rectangle, 499: Squares in Trapezoid)
U-ID59 – Thanapoom Keelapang (390: Squares in Triangle, 499: Convex Composition of Lucky Puzzle)
SIS ID60 – Chanakan Sapphalikhit, Sasikarn Tawanseri (Project: Geometrical analysis of firework origami folding processes)
DPST#35 – Raksit Kawemaroeng (Project: Tetrahedron packing in the cube)

AY2018

U-ID58 – Kotchakorn Kantanat (499: Design of shortest travel route using network Voronoi diagram)
U-ID58 – Kanokporn Chuenchom (499: Enumeration on the rigidity of m x n rectangular grids)

AY2017

U-ID57 – Phitchaya Wong-arin (499: Origami Axioms for Solving Euclidean Geometry Problems)
U-ID57 – Sookruethai Kamkaen (499: 2D Tessellations and Their Construction Conditions)