Source Code Cross Referenced for MultiscaleFunction.java in  » Science » JSci » JSci » maths » wavelet » Java Source Code / Java DocumentationJava Source Code and Java Documentation

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Java Source Code / Java Documentation » Science » JSci » JSci.maths.wavelet 
Source Cross Referenced  Class Diagram Java Document (Java Doc) 


01:        package JSci.maths.wavelet;
02:
03:        /*****************************************
04:         * Abstract encapsulation mostly meant for
05:         * wavelet functions (dyadic case).
06:         * @author Daniel Lemire
07:         *****************************************/
08:        public abstract class MultiscaleFunction implements  Cloneable {
09:            public abstract int dimension(int jfin);
10:
11:            public abstract int dimension();
12:
13:            /********************************************
14:             * Return a copy of the object
15:             *********************************************/
16:            public Object clone() {
17:                try {
18:                    MultiscaleFunction mf = (MultiscaleFunction) super .clone();
19:                    return (mf);
20:                } catch (CloneNotSupportedException cnse) {
21:                    throw new InternalError();
22:                }
23:            }
24:
25:            /**********************************************
26:             * Return a string representing the object
27:             ***********************************************/
28:            public abstract String toString();
29:
30:            /************************************************
31:             * Return as an array the sampled values
32:             * of the function
33:             * @param j number of iterations
34:             *************************************************/
35:            public abstract double[] evaluate(int j);
36:
37:            /******************************************
38:             * Compute the mass (integral)
39:             * @param a left boundary of the interval
40:             * @param b right boundary of the interval
41:             * @param jfin number of iterations to consider
42:             *   (precision)
43:             **********************************************/
44:            public double mass(double a, double b, int jfin) {
45:                double somme = 0;
46:                double[] values = evaluate(jfin);
47:                for (int k = 1; k < values.length - 1; k++) {
48:                    somme += values[k];
49:                }
50:                somme += values[0] / 2;
51:                somme += values[values.length - 1] / 2;
52:                somme = somme / (values.length - 1) * Math.abs(b - a);
53:                return (somme);
54:            }
55:
56:            /******************************************
57:             * Compute the mass (integral) of the interval 0,1
58:             * @param jfin number of iterations to consider
59:             *   (precision)
60:             **********************************************/
61:            public double mass(int jfin) {
62:                return (mass(0, 1, jfin));
63:            }
64:
65:            /****************************************
66:             * This method is used to compute
67:             * how the number of scaling functions
68:             * changes from on scale to the other.
69:             * Basically, if you have k scaling
70:             * function and a Filter of type t, you'll
71:             * have 2*k+t scaling functions at the
72:             * next scale (dyadic case).
73:             * Notice that this method assumes
74:             * that one is working with the dyadic
75:             * grid while the method "previousDimension"
76:             * define in the interface "Filter" doesn't.
77:             ******************************************/
78:            public abstract int getFilterType();
79:
80:            /*****************************************
81:             * Check if another object is equal to this
82:             * MultiscaleFunction object
83:             ******************************************/
84:            public abstract boolean equals(Object o);
85:        }
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