Project ID: 212
PUTERI AINNA HUSNA BINTI MEGAT MOHD - CS247
2017696342
Supervisor: NURSYAZNI BINTI MOHAMAD SUKRI
Examiner: MOHD RIVAIE BIN MOHD ALI (DR)
VOLUME OF IRREGULAR SYMMETRICAL OBJECTS DESIGNED BY USING LAMBDA MIU B-SPLINE METHOD
Abstract
In Computer Aided Geometry Design (CAGD), B-splines curves are piecewise polynomial parametric curves that play an important role. (CAGD) involves the interpolation and approximation curves and surfaces. CAGD has been widely used which brings good impact of computers to industries in manufacture. In order to engineering requirements, λµ-B-spline are proposed to be implemented in generating new objects. Bottle has been chosen as the irregular symmetrical object in this research. Bottles are classified as a 3-dimensional object which can be designed by using λµ-B-spline. The curves designed are dependent of the shape parameter which can be adjusted. The curves generated are revolved using Sweep Surface Method, hence creating 3-dimensional objects. Every 3-dimensional object has their own volume and this research focused on numerical method which is Simpson’s 3/8 for the purpose of computing the volume. Commonly, manufacturers produced bottles without knowing the exact volume that the bottles can hold. They resorted to a method known as Water Displacement Method to find the volume they desired. However, this process is time-consuming and complicated as it must undergo trial and error procedure for several times. Based on the volumes obtained in this research, they are compared with the actual volume. The results show that λµ-B-spline curve with shape parameter of 1 is the best shape parameter in designing symmetrical irregular objects with a desired volume.