DWT - Implementation of a discrete wavelet transform

Data Structures
struct	dwt_local
union	opj_v4_t
struct	v4dwt_local

Macros
#define	OPJ_WS(i)   v->mem[(i)*2]
#define	OPJ_WD(i)   v->mem[(1+(i)*2)]

Typedefs
typedef void(*	DWT1DFN) (opj_dwt_t *v)
	Virtual function type for wavelet transform in 1-D. More...

Local data structures
typedef struct dwt_local	opj_dwt_t
typedef struct v4dwt_local	opj_v4dwt_t
static const OPJ_FLOAT32	opj_dwt_alpha = 1.586134342f
static const OPJ_FLOAT32	opj_dwt_beta = 0.052980118f
static const OPJ_FLOAT32	opj_dwt_gamma = -0.882911075f
static const OPJ_FLOAT32	opj_dwt_delta = -0.443506852f
static const OPJ_FLOAT32	opj_K = 1.230174105f
static const OPJ_FLOAT32	opj_c13318 = 1.625732422f

Local static functions
static void	opj_dwt_deinterleave_h (OPJ_INT32 *a, OPJ_INT32 *b, OPJ_INT32 dn, OPJ_INT32 sn, OPJ_INT32 cas)
	Forward lazy transform (horizontal) More...
static void	opj_dwt_deinterleave_v (OPJ_INT32 *a, OPJ_INT32 *b, OPJ_INT32 dn, OPJ_INT32 sn, OPJ_INT32 x, OPJ_INT32 cas)
	Forward lazy transform (vertical) More...
static void	opj_dwt_interleave_h (opj_dwt_t *h, OPJ_INT32 *a)
	Inverse lazy transform (horizontal) More...
static void	opj_dwt_interleave_v (opj_dwt_t *v, OPJ_INT32 *a, OPJ_INT32 x)
	Inverse lazy transform (vertical) More...
static void	opj_dwt_encode_1 (OPJ_INT32 *a, OPJ_INT32 dn, OPJ_INT32 sn, OPJ_INT32 cas)
	Forward 5-3 wavelet transform in 1-D. More...
static void	opj_dwt_decode_1 (opj_dwt_t *v)
	Inverse 5-3 wavelet transform in 1-D. More...
static void	opj_dwt_decode_1_ (OPJ_INT32 *a, OPJ_INT32 dn, OPJ_INT32 sn, OPJ_INT32 cas)
static void	opj_dwt_encode_1_real (OPJ_INT32 *a, OPJ_INT32 dn, OPJ_INT32 sn, OPJ_INT32 cas)
	Forward 9-7 wavelet transform in 1-D. More...
static void	opj_dwt_encode_stepsize (OPJ_INT32 stepsize, OPJ_INT32 numbps, opj_stepsize_t *bandno_stepsize)
	Explicit calculation of the Quantization Stepsizes. More...
static OPJ_BOOL	opj_dwt_decode_tile (opj_tcd_tilecomp_t *tilec, OPJ_UINT32 i, DWT1DFN fn)
	Inverse wavelet transform in 2-D. More...
static OPJ_BOOL	opj_dwt_encode_procedure (opj_tcd_tilecomp_t *tilec, void(*p_function)(OPJ_INT32 *, OPJ_INT32, OPJ_INT32, OPJ_INT32))
static OPJ_UINT32	opj_dwt_max_resolution (opj_tcd_resolution_t *restrict r, OPJ_UINT32 i)
static void	opj_v4dwt_decode (opj_v4dwt_t *restrict dwt)
static void	opj_v4dwt_interleave_h (opj_v4dwt_t *restrict w, OPJ_FLOAT32 *restrict a, OPJ_INT32 x, OPJ_INT32 size)
static void	opj_v4dwt_interleave_v (opj_v4dwt_t *restrict v, OPJ_FLOAT32 *restrict a, OPJ_INT32 x, OPJ_INT32 nb_elts_read)
static void	opj_v4dwt_decode_step1 (opj_v4_t *w, OPJ_INT32 count, const OPJ_FLOAT32 c)
static void	opj_v4dwt_decode_step2 (opj_v4_t *l, opj_v4_t *w, OPJ_INT32 k, OPJ_INT32 m, OPJ_FLOAT32 c)

Exported functions
OPJ_BOOL	opj_dwt_encode (opj_tcd_tilecomp_t *tilec)
	Forward 5-3 wavelet tranform in 2-D. More...
OPJ_BOOL	opj_dwt_decode (opj_tcd_tilecomp_t *tilec, OPJ_UINT32 numres)
	Inverse 5-3 wavelet tranform in 2-D. More...
OPJ_UINT32	opj_dwt_getgain (OPJ_UINT32 orient)
	Get the gain of a subband for the reversible 5-3 DWT. More...
OPJ_FLOAT64	opj_dwt_getnorm (OPJ_UINT32 level, OPJ_UINT32 orient)
	Get the norm of a wavelet function of a subband at a specified level for the reversible 5-3 DWT. More...
OPJ_BOOL	opj_dwt_encode_real (opj_tcd_tilecomp_t *tilec)
	Forward 9-7 wavelet transform in 2-D. More...
OPJ_BOOL	opj_dwt_decode_real (opj_tcd_tilecomp_t *restrict tilec, OPJ_UINT32 numres)
	Inverse 9-7 wavelet transform in 2-D. More...
OPJ_UINT32	opj_dwt_getgain_real (OPJ_UINT32 orient)
	Get the gain of a subband for the irreversible 9-7 DWT. More...
OPJ_FLOAT64	opj_dwt_getnorm_real (OPJ_UINT32 level, OPJ_UINT32 orient)
	Get the norm of a wavelet function of a subband at a specified level for the irreversible 9-7 DWT. More...
void	opj_dwt_calc_explicit_stepsizes (opj_tccp_t *tccp, OPJ_UINT32 prec)
	Explicit calculation of the Quantization Stepsizes. More...

Detailed Description

Macro Definition Documentation

#define OPJ_WD

(

i

)

v->mem[(1+(i)*2)]

#define OPJ_WS

(

i

)

v->mem[(i)*2]

Typedef Documentation

typedef void(* DWT1DFN) (opj_dwt_t *v)

Virtual function type for wavelet transform in 1-D.

typedef struct dwt_local opj_dwt_t

typedef struct v4dwt_local opj_v4dwt_t

Function Documentation

void opj_dwt_calc_explicit_stepsizes	(	opj_tccp_t *	tccp,
		OPJ_UINT32	prec
	)

Explicit calculation of the Quantization Stepsizes.

Parameters

tccp	Tile-component coding parameters
prec	Precint analyzed

References J2K_CCP_QNTSTY_NOQNT, opj_tccp::numresolutions, opj_dwt_encode_stepsize(), opj_tccp::qmfbid, opj_tccp::qntsty, and opj_tccp::stepsizes.

Referenced by opj_j2k_setup_encoder().

OPJ_BOOL opj_dwt_decode	(	opj_tcd_tilecomp_t *	tilec,
		OPJ_UINT32	numres
	)

Inverse 5-3 wavelet tranform in 2-D.

Apply a reversible inverse DWT transform to a component of an image.

Parameters

tilec	Tile component information (current tile)
numres	Number of resolution levels to decode

References opj_dwt_decode_1(), and opj_dwt_decode_tile().

Referenced by opj_tcd_dwt_decode().

void opj_dwt_decode_1 ( opj_dwt_t *  v )

static

Inverse 5-3 wavelet transform in 1-D.

References dwt_local::cas, dwt_local::dn, dwt_local::mem, opj_dwt_decode_1_(), and dwt_local::sn.

Referenced by opj_dwt_decode().

void opj_dwt_decode_1_ ( OPJ_INT32 *  a, OPJ_INT32  dn, OPJ_INT32  sn, OPJ_INT32  cas  )

static

References OPJ_D, OPJ_D_, OPJ_DD_, OPJ_S, and OPJ_SS_.

Referenced by opj_dwt_decode_1().

OPJ_BOOL opj_dwt_decode_real	(	opj_tcd_tilecomp_t *restrict	tilec,
		OPJ_UINT32	numres
	)

Inverse 9-7 wavelet transform in 2-D.

Apply an irreversible inverse DWT transform to a component of an image.

Parameters

tilec	Tile component information (current tile)
numres	Number of resolution levels to decode

References v4dwt_local::cas, v4dwt_local::dn, opj_v4_t::f, opj_aligned_free, opj_aligned_malloc, opj_dwt_max_resolution(), OPJ_FALSE, OPJ_TRUE, opj_v4dwt_decode(), opj_v4dwt_interleave_h(), opj_v4dwt_interleave_v(), restrict, v4dwt_local::sn, v4dwt_local::wavelet, opj_tcd_resolution::x0, opj_tcd_resolution::x1, opj_tcd_resolution::y0, and opj_tcd_resolution::y1.

Referenced by opj_tcd_dwt_decode().

OPJ_BOOL opj_dwt_decode_tile ( opj_tcd_tilecomp_t *  tilec, OPJ_UINT32  i, DWT1DFN  fn  )

static

Inverse wavelet transform in 2-D.

References dwt_local::cas, opj_tcd_tilecomp::data, dwt_local::dn, dwt_local::mem, opj_aligned_free, opj_aligned_malloc, opj_dwt_interleave_h(), opj_dwt_interleave_v(), opj_dwt_max_resolution(), OPJ_FALSE, OPJ_TRUE, opj_tcd_tilecomp::resolutions, restrict, dwt_local::sn, opj_tcd_resolution::x0, opj_tcd_tilecomp::x0, opj_tcd_resolution::x1, opj_tcd_tilecomp::x1, opj_tcd_resolution::y0, and opj_tcd_resolution::y1.

Referenced by opj_dwt_decode().

void opj_dwt_deinterleave_h ( OPJ_INT32 *  a, OPJ_INT32 *  b, OPJ_INT32  dn, OPJ_INT32  sn, OPJ_INT32  cas  )

static

Forward lazy transform (horizontal)

Referenced by opj_dwt_encode_procedure().

void opj_dwt_deinterleave_v ( OPJ_INT32 *  a, OPJ_INT32 *  b, OPJ_INT32  dn, OPJ_INT32  sn, OPJ_INT32  x, OPJ_INT32  cas  )

static

Forward lazy transform (vertical)

Referenced by opj_dwt_encode_procedure().

OPJ_BOOL opj_dwt_encode

(

opj_tcd_tilecomp_t *

tilec

)

Forward 5-3 wavelet tranform in 2-D.

Apply a reversible DWT transform to a component of an image.

Parameters

tilec

Tile component information (current tile)

References opj_dwt_encode_1(), and opj_dwt_encode_procedure().

Referenced by opj_tcd_dwt_encode().

void opj_dwt_encode_1 ( OPJ_INT32 *  a, OPJ_INT32  dn, OPJ_INT32  sn, OPJ_INT32  cas  )

static

Forward 5-3 wavelet transform in 1-D.

References OPJ_D, OPJ_D_, OPJ_DD_, OPJ_S, and OPJ_S_.

Referenced by opj_dwt_encode().

void opj_dwt_encode_1_real ( OPJ_INT32 *  a, OPJ_INT32  dn, OPJ_INT32  sn, OPJ_INT32  cas  )

static

Forward 9-7 wavelet transform in 1-D.

References OPJ_D, OPJ_D_, OPJ_DD_, opj_int_fix_mul(), OPJ_S, OPJ_S_, and OPJ_SS_.

Referenced by opj_dwt_encode_real().

INLINE OPJ_BOOL opj_dwt_encode_procedure ( opj_tcd_tilecomp_t *  tilec, void(*)(OPJ_INT32 *, OPJ_INT32, OPJ_INT32, OPJ_INT32)  p_function  )

static

References opj_tcd_tilecomp::data, opj_tcd_tilecomp::numresolutions, opj_dwt_deinterleave_h(), opj_dwt_deinterleave_v(), opj_dwt_max_resolution(), OPJ_FALSE, opj_free, opj_malloc, OPJ_TRUE, opj_tcd_tilecomp::resolutions, opj_tcd_resolution::x0, opj_tcd_tilecomp::x0, opj_tcd_resolution::x1, opj_tcd_tilecomp::x1, opj_tcd_resolution::y0, and opj_tcd_resolution::y1.

Referenced by opj_dwt_encode(), and opj_dwt_encode_real().

OPJ_BOOL opj_dwt_encode_real

(

opj_tcd_tilecomp_t *

tilec

)

Forward 9-7 wavelet transform in 2-D.

Apply an irreversible DWT transform to a component of an image.

Parameters

tilec

Tile component information (current tile)

References opj_dwt_encode_1_real(), and opj_dwt_encode_procedure().

Referenced by opj_tcd_dwt_encode().

void opj_dwt_encode_stepsize ( OPJ_INT32  stepsize, OPJ_INT32  numbps, opj_stepsize_t *  bandno_stepsize  )

static

Explicit calculation of the Quantization Stepsizes.

References opj_stepsize::expn, opj_stepsize::mant, and opj_int_floorlog2().

Referenced by opj_dwt_calc_explicit_stepsizes().

OPJ_UINT32 opj_dwt_getgain

(

OPJ_UINT32

orient

)

Get the gain of a subband for the reversible 5-3 DWT.

Parameters

orient

Number that identifies the subband (0->LL, 1->HL, 2->LH, 3->HH)

Returns

Returns 0 if orient = 0, returns 1 if orient = 1 or 2, returns 2 otherwise

Referenced by opj_tcd_init_tile().

OPJ_UINT32 opj_dwt_getgain_real

(

OPJ_UINT32

orient

)

Get the gain of a subband for the irreversible 9-7 DWT.

Parameters

orient

Number that identifies the subband (0->LL, 1->HL, 2->LH, 3->HH)

Returns

Returns the gain of the 9-7 wavelet transform

Referenced by opj_tcd_init_tile().

OPJ_FLOAT64 opj_dwt_getnorm	(	OPJ_UINT32	level,
		OPJ_UINT32	orient
	)

Get the norm of a wavelet function of a subband at a specified level for the reversible 5-3 DWT.

Parameters

level	Level of the wavelet function
orient	Band of the wavelet function

Returns

Returns the norm of the wavelet function

Referenced by opj_t1_getwmsedec().

OPJ_FLOAT64 opj_dwt_getnorm_real	(	OPJ_UINT32	level,
		OPJ_UINT32	orient
	)

Get the norm of a wavelet function of a subband at a specified level for the irreversible 9-7 DWT.

Parameters

level	Level of the wavelet function
orient	Band of the wavelet function

Returns

Returns the norm of the 9-7 wavelet

Referenced by opj_t1_getwmsedec().

void opj_dwt_interleave_h ( opj_dwt_t *  h, OPJ_INT32 *  a  )

static

Inverse lazy transform (horizontal)

References dwt_local::cas, dwt_local::dn, dwt_local::mem, and dwt_local::sn.

Referenced by opj_dwt_decode_tile().

void opj_dwt_interleave_v ( opj_dwt_t *  v, OPJ_INT32 *  a, OPJ_INT32  x  )

static

Inverse lazy transform (vertical)

References dwt_local::cas, dwt_local::dn, dwt_local::mem, and dwt_local::sn.

Referenced by opj_dwt_decode_tile().

OPJ_UINT32 opj_dwt_max_resolution ( opj_tcd_resolution_t *restrict  r, OPJ_UINT32  i  )

static

Referenced by opj_dwt_decode_real(), opj_dwt_decode_tile(), and opj_dwt_encode_procedure().

void opj_v4dwt_decode ( opj_v4dwt_t *restrict  dwt )

static

References opj_c13318, opj_dwt_alpha, opj_dwt_beta, opj_dwt_delta, opj_dwt_gamma, opj_int_min(), opj_K, opj_v4dwt_decode_step1(), and opj_v4dwt_decode_step2().

Referenced by opj_dwt_decode_real().

void opj_v4dwt_decode_step1 ( opj_v4_t *  w, OPJ_INT32  count, const OPJ_FLOAT32  c  )

static

References restrict.

Referenced by opj_v4dwt_decode().

void opj_v4dwt_decode_step2 ( opj_v4_t *  l, opj_v4_t *  w, OPJ_INT32  k, OPJ_INT32  m, OPJ_FLOAT32  c  )

static

References restrict.

Referenced by opj_v4dwt_decode().

void opj_v4dwt_interleave_h ( opj_v4dwt_t *restrict  w, OPJ_FLOAT32 *restrict  a, OPJ_INT32  x, OPJ_INT32  size  )

static

References restrict.

Referenced by opj_dwt_decode_real().

void opj_v4dwt_interleave_v ( opj_v4dwt_t *restrict  v, OPJ_FLOAT32 *restrict  a, OPJ_INT32  x, OPJ_INT32  nb_elts_read  )

static

References restrict.

Referenced by opj_dwt_decode_real().

Variable Documentation

const OPJ_FLOAT32 opj_c13318 = 1.625732422f

static

Referenced by opj_v4dwt_decode().

const OPJ_FLOAT32 opj_dwt_alpha = 1.586134342f

static

Referenced by opj_v4dwt_decode().

const OPJ_FLOAT32 opj_dwt_beta = 0.052980118f

static

Referenced by opj_v4dwt_decode().

const OPJ_FLOAT32 opj_dwt_delta = -0.443506852f

static

Referenced by opj_v4dwt_decode().

const OPJ_FLOAT32 opj_dwt_gamma = -0.882911075f

static

Referenced by opj_v4dwt_decode().

const OPJ_FLOAT32 opj_K = 1.230174105f

static

Referenced by opj_v4dwt_decode().