QGraphicsView fit image

saber

I have made an imageviewer with QGraphicsView.
i wanted the image will fit the view .

#include "view.h"

#include <QDebug>
#include <QWheelEvent>


view::view(QWidget *parent):QGraphicsView (parent)
{
    setCacheMode (CacheBackground);
    setViewportUpdateMode (BoundingRectViewportUpdate);
    setRenderHint (QPainter::HighQualityAntialiasing);
    setTransformationAnchor (AnchorUnderMouse);
}

void view::zoomIn()
{
    scale(scaleFactor, scaleFactor);
    isFit = false;
}

void view::zoomOut()
{
    scale(invScaleFactor, invScaleFactor);
    isFit = false;
}

void view::zoomNormal()
{
    resetMatrix();
    isFit = false;
}

void view::zoomFit()
{
    fitInView (sceneRect(), Qt::KeepAspectRatio);
    isFit = true;
}

bool view::eventFilter(QObject *, QEvent *event)
{
    if (event->type() == QEvent::Wheel)
    {
        QWheelEvent *wheel_event = static_cast<QWheelEvent *> (event);

        if (Qt::RightButton & wheel_event->buttons()) { // right button + wheel
            if (wheel_event->delta() > 0) scale(scaleFactor, scaleFactor);
            else if (wheel_event->delta() < 0) scale(invScaleFactor, invScaleFactor);
        }
        else if (wheel_event->modifiers() == Qt::ControlModifier) { // ctrl + wheel
            if (wheel_event->delta() > 0) scale(scaleFactor, scaleFactor);
            else scale(invScaleFactor, invScaleFactor);
        }
        else if (wheel_event->buttons() == 0){ // only wheel
            if (wheel_event->delta() < 0) emit nextImage();
            else if (wheel_event->delta() > 0) emit prevImage();
        }
    }

    return false;
}

void view::mouseDoubleClickEvent (QMouseEvent *event)
{
    if (event->button () == Qt::LeftButton)
    {
        if (isFit) zoomNormal ();
        else zoomFit ();
    }
}

#pragma once

#include <QGraphicsView>
#include <QEvent>

class view : public QGraphicsView
{
    Q_OBJECT

public:
    view(QWidget *parent = nullptr);

public slots:
    void zoomIn();
    void zoomOut();
    void zoomNormal();
    void zoomFit();

private:
    const double scaleFactor = 1.25;
    const double invScaleFactor = 1 / 1.25;
    bool eventFilter(QObject *, QEvent *event);
    void mouseDoubleClickEvent(QMouseEvent *event);
    bool isFit = true;

signals:
    void nextImage();
    void prevImage();
};

so i call the zoomfit functio to fit the image. but issue is after fit the image is distorted.
but if i call the resetMatrix(); then all good but image is zoomed.

I want a clear image with fit.

here is pic wiin detored , fit and not zoomed

here is one not fit ,zooomed, not distorted