Abstract: There is provided an image processing method for performing image processing at a high speed with a high accuracy by using the CSRBF method. The image processing method for processing an object image includes a step (Step 12) for creating function data, i.e., the object image expressed with a function and a step (Step 13) for performing image processing so that the object image becomes a desired image by using the created function data. When creating the function data, a high-speed algorithm is used (Step 11) for creating a diagonal matrix for a parameter of a basis function in the CSRBF method. The image processing includes image resolution interpolation, compression, scratch repair, animation creation, and the like.

Abstract: An active control system is provided with an actuator which controls a noise and/or vibration state of an automotive vehicle, a detector which detects the noise and/or vibration state of the vehicle, and a control unit which receives an output signal of the noise and/or vibration state detector and outputs a signal to control the actuator, the control unit having a neural net which compares a control predicted value based on the output signal with a control target value so that a correction for connection weights in the neural net is carried out on the basis of the comparison result.

Abstract: A method of determining the positions of beads, capable of determining appropriate positions easily. The method includes the steps of obtaining a buckling waveform on the member without any bead; analyzing the obtained buckling waveform to determine concave portions and convex portions of the buckling waveform; and determining the positions of the beads in accordance with the concave portions and the convex portions of the buckling waveform.